Question

Solve this quadratic inequalitie with detailed full explanation

X2≤16
x square less than or equal to 16

Answer 1

`x^2\leq16\\x\leq 4 \wedge x\geq -4\\x\in\langle-4,4\rangle`

different approach:

`x^2\leq16\\x^2-16\leq0\\(x-4)(x+4)\leq0`

see attachment

`x\in\langle-4,4\rangle`

Answer 2

`~~~~~~x^2 \leq 16\\\\\implies -√(16) \leq x\leq √(16)\\\\\implies -4\leq x \leq 4\\\\\text{Interval notation:}~ [-4,4]`